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Finding the Third Proportional to 277,024.50 and 429,792.75

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Solution

The third proportional to 277,024.50 and 429,792.75 is: 666,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,024.50 : 429,792.75 = 429,792.75 : x
  2. Step 2: Convert to fraction form
    277,024.50/429,792.75 = 429,792.75/x
  3. Step 3: Cross multiply
    277,024.50x = 429,792.75 × 429,792.75
  4. Step 4: Simplify right side
    277,024.50x = 184,721,807,952.56
  5. Step 5: Solve for x
    x = 184,721,807,952.56/277,024.50
  6. Step 6: Final answer
    x = 666,806.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.